It is believed the 29-year-old would cost the Spanish side around 10million euros.
French side Marseille have also been linked with Russia’s reserve keeper at Euro 2008.
“I know about the interest from these clubs,” he told Sport Express. “However, I will only be able to make a decision whether to leave Zenit or not after consulting the club management and the head coach.
“At the end of 2009 my contract with Zenit runs out, and I need to know whether the club will require me in the long term.”